Earlier quoted context omitted.
I had no problem biking in 100+ degrees weather up a 50 meter hill. Just take a shower when you arrive at work.
I agree with this and I have done this for years. However, having to take a shower is an extra source of friction that makes biking a bit more challenging in hot climates.
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It only breaks 100 occasionally here in Colorado, but it's plenty hilly and I ditched my car for a bike 8 years back. I arrive at the office sweaty pretty frequently, and I neither shower nor bring a change of clothes. Luckily the air is so dry that the sweat evaporates quickly.
At first I did a lot of showering, but then my skin suffered. The doctor recommended using less soap without going into how much less, so I asked a few close friends to be brutally honest about whether I was stinky while I reduced my soap exposure and started to look for correlations.
I pretty quickly ended up reducing by soap exposure to practically none (I still use hand soap though).
About two weeks after I quit using soap while bathing my skin has started behaving differently. I can no longer correlate sweating a few hours ago with being stinky now. (Admittedly, is hard to get real data on stuff like this).
Somebody always tells me I'm gross when I confess that now I only shower once every four days or so, but 90% of the time somebody mentions a case where I was stinky, they're taking about day two after the shower, not day five.
My theory is that even exposure to just hot running water depletes the skin of some resource, and about 24 hours after the shower I'm at my stinkiest because whatever process replenishes that resource is at a peak. By 48 hours this has subsided and my scent is steady-state. (i.e. body odor correlates with the derivative--not the absolute value, of this resource. It might be bacteria, or oils, or pheramones, I'm not sure).
I've also found that by avoiding cotton or synthetics in my shirts, I can get get a week's worth of wears out of them (I just cycle them so that the color changes and nobody asks).
I think that people in general are frequently wrong about the causes and effects around bathing, but the social conventions are too strong to help them, so occasionally I go on a rant like this, just in case I can help save somebody else from soap. Thanks for listening.